Finding the Fourth Proportional to 3,414, 5,121.72 and 1,105.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414 : 5,121.72 = 1,105.68 : x
2. Step 2: Convert to fraction form
   3,414/5,121.72 = 1,105.68/x
3. Step 3: Cross multiply
   3,414x = 5,121.72 × 1,105.68
4. Step 4: Simplify right side
   3,414x = 5,662,983.37
5. Step 5: Solve for x
   x = 5,662,983.37/3,414
6. Step 6: Final answer
   x = 1,658.75